Submission #1065222

#TimeUsernameProblemLanguageResultExecution timeMemory
1065222HiepVu217Swapping Cities (APIO20_swap)C++17
0 / 100
253 ms40824 KiB
#include <bits/stdc++.h> #include "swap.h" using namespace std; const int Z = 3e5 + 17; int n, m, q, lg, c[Z], ans[Z]; int r[Z], d[Z], p[20][Z]; tuple <int, int, int> e[Z]; vector <int> adj[Z]; bool ex[Z]; int root (int u) { if (u == r[u]) { return u; } return r[u] = root(r[u]); } void join (int x, int y, int z) { x = root(x); y = root(y); ++n, r[n] = n; if (x == y) { ex[n] = 1, r[x] = n; adj[n].push_back(x); } else { ex[n] = ex[x] | ex[y] | z; r[x] = r[y] = n; adj[n].push_back(x); adj[n].push_back(y); } } int lca (int u, int v) { if (d[u] < d[v]) { swap (u, v); } for (int i = lg; i >= 0; --i) { if (d[p[i][u]] >= d[v]) { u = p[i][u]; } } if (u == v) { return u; } for (int i = lg; i >= 0; --i) { if (p[i][u] != p[i][v]) { u = p[i][u], v = p[i][v]; } } return p[0][u]; } void dfs (int u, int pr) { d[u] = d[pr] + 1, p[0][u] = pr; for (int i = 1; i <= lg; ++i) { p[i][u] = p[i - 1][p[i - 1][u]]; } for (int v: adj[u]) { if (v != pr) { dfs (v, u); } } } void init(int N, int M, vector<int> U, vector<int> V, vector<int> W) { n = N, m = M; lg = __lg(n + m); for (int i = 0; i < m; ++i) { int u = U[i], v = V[i], w = W[i]; ++u, ++v; e[i] = {w, u, v}; } for (int i = 1; i <= n; ++i) { r[i] = i; } sort (e + 1, e + m + 1); for (int i = 1; i <= m; ++i) { auto [w, u, v] = e[i]; ++c[u], ++c[v]; int z = (c[u] > 2) | (c[v] > 2); join (u, v, z); ans[n] = w; } for (int i = n; i >= 0; --i) { if (!d[i]) { dfs (i, 0); } } } int getMinimumFuelCapacity(int u, int v) { ++u, ++v; int z = lca (u, v); if (ex[z]) { return ans[z]; } for (int i = lg; i >= 0; --i) { if (p[i][z] && !ex[p[i][z]]) { z = p[i][z]; } } z = p[0][z]; if (!z) { return -1; } return ans[z]; }
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